Formulation of angular correlation and distribution experiments in the presence of a texturized hyperfine interaction

Abstract

This report deals with the interpretation of experimental results on hyperfine interaction (h.f.i.) detected by nuclear radiation, in cases where the interaction has neither a unique nor a random orientation. A formulation has been drawn up to derive from such experiments (angular correlation or nuclear orientation) the appropriate components of the h.f.i. orientational distribution. We expand the so-called texture distribution function by using the Wigner rotation matrices and defining the texture components. Some symmetries in these components are discussed together with features imposed by the crystal symmetry of the host lattice. We show that the angular distribution of nuclear radiation can be developed as a linear combination in the texture components. The detection geometry selects which components are observed, what allows to design experiments such that a differentiation between texture models is possible. Finally some tables illustrate the general applicability of the present formulation to any kind of texture.